You will achieve this in 15 days. Both 5 and 3 have a least common multiple of 15.
We start with the following information:
p = probability = 0.12<span>
n = total number of students = 39 </span>
x = number of left-handers = 5<span>
u = mean = p * n = 4.68
σ = standard deviation = √(n*p*(1-p)) = √(39 * 0.12 * 0.88) =
2.03</span>
Finding the z score:
z = (x – u) / σ
<span>
z = (5 – 4.68) / 2.03
</span>
z
= 0.1576 = 0.16
<span>
</span>Applying standard tables for z gives the p value as:
p value = 0.5636 = 56.36%
Consequently, there is a 56.36% probability.
20.7 degrees C
Step-by-step explanation:
The simplest way to approach this is with a calculator or paper. (it's straightforward math) To begin, start with 19.4. Then, it increases by 3.8. Adding this to 19.4 results in 23.2, but then it decreases again by 2.5 degrees. Thus, from 23.2, subtract 2.5 to get 20.7 degrees.
Answer:
and these represent genuine solutions.
Step-by-step explanation:
We have
Factor both sides' denominators.
Simplify.
Verify
1) For 
---> is valid.
Thus,
-----> is a legitimate solution.
2) For 
---> is valid.
Therefore,
-----> is a legitimate solution.
Thus,
Let's break it down step by step: Brennan is engaged in a game where he can establish towns, helping his empire grow. He started with 5 villagers, with each town enabling him to add 1.15 times the number of existing villagers. After forming one town, he will have 5×1.15 villagers, and following the creation of two towns, he will have 5×1.15×1.15 villagers. After establishing three towns, it will be 5×1.15×1.15×1.15 villagers, and for n towns, it leads to. Thus, after creating 15 towns, he will have approximately 41 villagers. To create a formula predicting the number of villagers based on towns, let's denote the number of towns as n; consequently, the villagers can be summarized as.
